相关期刊:《Acta Mechanica Sinica》《Advances in Applied Mathematics and Mechanics》《Journal of Computational Mathematics》《Applied Mathematics and Mechanics(English Edition)》更多>>
supported by the Russian Science Foundation(project 22-11-00199).The author would like to thank Tatiana Zezyulina for the qualified assistance in English and the reviewers for their helpful comments.
The article opens a series of publications devoted to a systematic study of numerical errors behind the shock wave when using high-order Godunov-type schemes,including in combination with the artificial viscosity appr...
supported by the National Natural Science Foundation of China(grant Nos.11972370,92252101,11927803).
In this paper,we present a hybrid form of weighted compact nonlinear scheme(WCNS)for hyperbolic conservation laws by applying linear and nonlinear methods for smooth and discontinuous zones individually.To fulfill thi...
supported by the National Natural Science Foundation of China(No.11721202).
In this paper,a simple and robust shock-capturing method is developed for the Flux Reconstruction(FR)framework by combining the Adaptive Mesh Refinement(AMR)technique with the positivity-preserving property.The adapti...
The authors were partially supported by the Special Project on High-performance Computing under the National Key R&D Program(No.2016YF B0200603);Sci-ence Challenge Project(No.JCK Y2016212A502);the National Natural Science Foundation of China(Nos.91630310&11421101).
This paper studies the two-stage fourth-order accurate time discretization[J.Q.Li and Z.F.Du,SIAM J.Sci.Comput.,38(2016)]and its application to the special relativistic hydrodynamical equations.Our analysis reveals th...
The work of A.Chertock was supported in part by the NSF Grants DMS-1216974 and DMS-1521051;The work of A.Kurganov was supported in part by the NSF Grants DMS-1216957 and DMS-1521009;The work of G.Russo was supported partially by the University of Catania,Project F.I.R.Charge Transport in Graphene and Low Dimensional Systems,and partially by ITN-ETN Horizon 2020 Project Mod Comp Shock,Modeling and Computation on Shocks and Interfaces,Project Reference 642768.
In this paper,we describe how to construct a finite-difference shockcapturing method for the numerical solution of the Euler equation of gas dynamics on arbitrary two-dimensional domainΩ,possibly with moving boundary...
supported by the National Natural Science Foundation of China(Nos.11472188 and11332007);the National Key Research and Development Program of China(No.2016YFA0401200)
Transition prediction is of great importance for the design of long distance flying vehicles. It starts from the problem of receptivity, i.e., how external disturbances trigger instability waves in the boundary layer....
In this paper a new finite-volume non-hydrostatic and shock-capturing three-dimensional model for the simulation of wave-structure interaction and hydrodynamic phenomena(wave refraction, diffraction, shoaling and bre...
supported by the State Ocean Administration People’s Republic of China(Grant No.201405025);the Key Laboratory for Sea Area Management Technology(SOA)(Grant No.201603)
A depth-integrated, non-hydrostatic model with hybrid finite difference and finite volume numerical algorithm is proposed in this paper. By utilizing a fraction step method, the governing equations are decomposed into...
the foundation of the National Natural Science Foundation of China(11272152);the Aeronautical Science Foundation of China(20101552018)。
In this paper,high-order Discontinuous Galerkin(DG)method is used to solve the two-dimensional Euler equations.A shock-capturing method based on the artificial viscosity technique is employed to handle physical discon...
financed by the Italian Ministry of Research(MIUR)under the project PRIN 2007 and by MIUR and the British Council under the project British-Italian Partnership Programme for young researchers 2008-2009。
This paper is concerned with a new version of the Osher-Solomon Riemann solver and is based on a numerical integration of the path-dependent dissipation matrix.The resulting scheme is much simpler than the original on...